The Impact of Nonlinear Stability and Instability on the Validity of the Tangent Linear Model

Advances in Atmospheric Sciences

Volumn 17, Issue 2, 2000, Pages 375-390

  Mu, Mu ^a   Huan, Guo ^a   Jiafeng, Wang ^a   Yong, Li ^b  

^a INSTITUTE OF ATMOSPHERIC PHYSICS   (China)

^b UNIVERSITY OF MARYLAND BALTIMORE COUNTY   (United States)

Author keywords

Nonlinear stability and instability; Tangent linear model (TLM); Validity

Indexed keywords

EID: 0000859898     PISSN: 02561530     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00376-000-0030-9     Document Type: Article

References (13)

1. Arnol'd, V. I., 1966: On an a priori estimate in the theory of hydrodynamical stability. Izv. Vyssh. Uchebn. Zaved. Matematika, 54(5), 3-5.
2. Buizza, R., 1995: Optimal perturbation time evolution and sensitivity of ensemble prediction to perturbation amplitude. Quart. J. Roy. Meteor. Soc., 121, 1705-1738.
3. Ehrendorfer, M., and J. Tribbia, 1997: Optimal prediction of forecast error covariances through singular vectors. J. Atmos. Sci., 54, 286-313.
4. Errico, R., and T. Vukicevic, 1992: Sensitivity analysis using PSU-NCAR Meso-scale Model. Mon. Wea Rev., 120, 1644-1660.
5. _, T. Vukicevic, and K. Raeder, 1993: Examination of the accuracy of a tangent linear model. Tellus, 45A, 462-477.
6. Evensen, G., 1992: Using the extended Kalman filter with a multilayer quasi-geostrophic ocean model. J. Geophys. Res., 97(c11), 17905-17924.
7. Farrell, B. F., 1990: Smaller error dynamics and the predictability of atmospheric flow. J. Atmos. Sci., 47, 2409-2416.
8. Lacarra, J. F., and O. Talagrand, 1988: Short range evolution of small perturbations in a barotropic model. Tellus, 40A, 81-95.
9. Molteni, F., R. Buizza, T. N. Parmer, and T. Petroliagis, 1996: The ECMWF ensemble prediction system: Methodology and validation. Quart. J. Roy. Meteor. Soc., 123, 101-127.
10. Mu Mu, 1992: Nonlinear stability of two-dimensional quasi-geostrophic motions. Geophys. Astrophys. Fluid Dyn., 65, 57-76.
11. Mu Mu & T. G. Shepherd, 1994: On Arnol'd's second nonlinear stability theorem for two-dimensional quasi-geostrophic flow. Geophys. Astrophys. Fluid Dyn., 75, 21-37.
12. Rabier, F., and P. Coutier, 1992: Four-dimensional assimilation in the presence of baroclinic instability. Quart. J. Rog. Meteor. Soc., 118, 649-672.
13. Vukicevic, T., 1991: Non-linear and linear evolution of initial forecast errors. Mon. Wea. Rev., 119, 1602-1611.